Question

Resolva as inequações A) 7(x -- 1) < 5-2x B)10x -- 1 < 4(x+1) C)6x -- 3(4 -- 2x) > 0 D)3(x -- 2) < 5x -- 8 E)2(x -- 3) + 3(x -1) <36 F)3(x -- 1) -- 2(x + 1) > --9

Answer 1

a
7( x - 1) < 5 - 2x
7x - 7 < 5 - 2x
7x + 2x < 5 + 7
9x < 12
x < 12/9 ou  4/3 ***

b
10x - 1 < 4 ( x + 1)
10x - 1 <4x + 4
10x - 4x < 4 + 1
6x < 5
x < 5/6 ****

c
6x - 3( 4 - 2x)  > 0
6x - 12 + 6x > 0
12x > 12
x > 1 ****

d
3 ( x - 2 ) < ( 5x - 8)
3x - 6 < 5x - 8
3x - 5x < -8 + 6
-2x < -2
2x > 2
x > 2/2 ou 1  ****

2 ( x - 3) + 3 ( x - 1) < 36
2x - 6 + 3x - 3 < 36
5x - 9 < 36
5x < 36 + 9
5x < 45
x < 45/5 ou 9 ***

f
3 ( x - 1) - 2 (x + 1) > -9
3x - 3 - 2x - 2 > -9
x - 5 > -9
x > -9 + 5
x > -4 ***